26146272 has 96 divisors (see below), whose sum is σ = 74807712. Its totient is φ = 7962624.

The previous prime is 26146271. The next prime is 26146277. The reversal of 26146272 is 27264162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26146271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60168 + ... + 60600.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^26146272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856).

26146272 is an abundant number, since it is smaller than the sum of its proper divisors (48661440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26146272 is a wasteful number, since it uses less digits than its factorization.

26146272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 26146272 is about 5113.3425467105. The cubic root of 26146272 is about 296.8041198393.

The spelling of 26146272 in words is "twenty-six million, one hundred forty-six thousand, two hundred seventy-two".